Theoretical Study of impurity effects in topological insulators and superconductors

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Kondo effects of electronic and thermal transport at edges of topological insulators are studied theoretically. Exchange coupling of a magnetic impurity and Majorana fermion edge states in two-dimensional topological superconductors is shown to be anisotropic. Anderson localization caused by impurities in two-dimensional topological insulators and superconductors is studied both analytically and numerically using network models. Furthermore, the classification theory of topological insulators and superconductors is revisited.